An efficient approximation to the correlated Nakagami-m sums and it application in equal gain diversity receivers

Authors:
Nikola Zlatanov;Zoran Hadzi-Velkov;George K. Karagiannidis
Affiliations:
Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University, Skopje;Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University, Skopje;Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki
Venue:
IEEE Transactions on Wireless Communications
Year:
2010

Citing 5
Cited 0

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Performance of multichannel reception with transmit antenna selection in arbitrarily distributed Nagakami fading channels

IEEE Transactions on Wireless Communications
An efficient approach to multivariate Nakagami-m distribution using Green's matrix approximation

IEEE Transactions on Wireless Communications
Highly Accurate Closed-Form Approximations to the Sum of α-μVariates and Applications

IEEE Transactions on Wireless Communications
A decomposition technique for efficient generation of correlated Nakagami fading channels

IEEE Journal on Selected Areas in Communications

Quantified Score

Hi-index	0.01

Visualization

Abstract

There are several cases in wireless communications theory where the statistics of the sum of independent or correlated Nakagami-m random variables (RVs) is necessary to be known. However, a closed-form solution to the distribution of this sum does not exist when the number of constituent RVs exceeds two, even for the special case of Rayleigh fading. In this paper, we present an efficient closed-form approximation for the distribution of the sum of arbitrary correlated Nakagami-m envelopes with identical and integer fading parameters. The distribution becomes exact for maximal correlation, while the tightness of the proposed approximation is validated statistically by using the Chi-square and the Kolmogorov-Smirnov goodness-of-fit tests. As an application, the approximation is used to study the performance of equal-gain combining (EGC) systems operating over arbitrary correlated Nakagami-m fading channels, by utilizing the available analytical results for the error-rate performance of an equivalent maximal-ratio combining (MRC) system.